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Firdavs [7]
3 years ago
5

An article reported that, in a study of a particular wafer inspection process, 356 dies were examined by an inspection probe and

186 of these passed the probe. Assuming a stable process, calculate a 95% (two-sided) confidence interval for the proportion of all dies that pass the probe. (Round your answers to three decimal places.)
Mathematics
1 answer:
Lady bird [3.3K]3 years ago
6 0

Answer:

95% (two-sided) confidence interval for the proportion of all dies that pass the probe is between 0.470 and 0.574

Step-by-step explanation:

Confidence interval can be calculated as p±ME where

  • p is the sample proportion of dies that pass the probe
  • ME is the margin of error

and margin of error (ME) around the mean can be found using the formula

ME=\frac{z*\sqrt{p*(1-p)}}{\sqrt{N} } where

  • z is the corresponding statistic in 95% confidence level (1.96)
  • p is the sample proportion (\frac{186}{356}=0.522)
  • N is the sample size (356)

Using the numbers in the formula we get

ME=\frac{1.96*\sqrt{0.522*0.478}}{\sqrt{356} } ≈0.052

then the 95% confidence interval would be 0.522±0.052

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iVinArrow [24]
Y=3x-5
y-3x=-5
Times 2 from both side
y(2)-3x(2)=-5(2)
2y-6x=-10
Times negative from both side
(-)2y-6x(-)=(-)-10
-2y+6x=10
or
6x-2y=10


6x=2y+10
6x-2y=10
Furthermore, we see that both equation have the same 6x-2y=10 which means that both of them have infinity solutions, not a solution. Hope it help!
5 0
3 years ago
Joe bought a $40 video game for only $28, what was the percent discount on<br> the item?
Nata [24]

Answer:

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6 0
2 years ago
Which group of three squares will form a right triangle when<br> joined at their vertices?
Ilia_Sergeevich [38]

Answer:

Option ?) 17 cm, 15 cm, 8 cm

<em>The assignment should have </em><em>four options</em><em> to choose from, but there is only a picture of two. </em>

Step-by-step explanation:

<em>None of the squares </em><em>shown</em><em> form a right triangle. To determine if sides form a right triangle, you use </em><em>this</em><em> formula:</em>

a²+b²=c²

<em>We are given two options in the picture.</em>

Option A) 18, 10, and 8.

Option B) 12, 9, and 6.

<em>So, now we need to apply the formula:</em>

Option A)

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  ↓

║64 + 100 = 324

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║FALSE

Option B)

║6² + 9² = 12²

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║36 + 81 = 144

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║FALSE

<em>Both of these options are false.</em><em> But, I decided to look up this assignment to check my answer. It turns out, there are </em><em>4 options</em><em>, and you only had a picture of two. So, what's the answer?</em>

<em />

<em>There is an answer choice that shows 3 squares with the lengths of 17 cm, 15 cm, and 8 cm. </em><em>This is the correct answer</em><em>.</em>

<em />

<em>For proof, let's apply the formula:</em>

Option ?)

║8² + 15² = 17²

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<em>[Since the option isn't shown, I'll put a '?' so there is no confusion]</em>

8 0
3 years ago
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ehidna [41]

Answer:

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6 0
3 years ago
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Find the mean of the data in the dot plot below. Make sure to show your work and explain the steps you took in solving the probl
zaharov [31]

Answer: 6.

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48 / 8 = 6.

Therefore, the mean for this data set is 6.

Have a great day! :)

5 0
2 years ago
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